Greatest Common Factor of 8949/24, 6921/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8949/24, 6921/318

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8949/24,6921/318

Given fractions are 8949/24,6921/318

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8949,6921

Greatest Common Factor of Numerators i.e. GCF of 8949,6921 is 3 .

LCM of Denominators means LCM of 24,318 as per the given fractions.

LCM of 24,318 is 1272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8949,6921

GCF of Fractions 8949/24,6921/318 is 3/1272

3 8949, 6921
2983, 2307

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8949,6921 By Matching Biggest Common Factor Method

Greatest Common Factor of 8949,6921 By Matching Biggest Common Factor Method

Factors of 8949

List of positive integer factors of 8949 that divides 8949 without a remainder.

1,3,19,57,157,471,2983,8949

Factors of 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1,3,9,769,2307,6921

Greatest Common Factor

We found the factors 8949,6921 . The biggest common factor number is the GCF number.
So the greatest common factor 8949,6921 is 3.

Lets's calculate LCM of 24,318

2 24, 318
3 12, 159
4, 53

∴ So the LCM of the given numbers is 2 x 3 x 4 x 53 = 1272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1272

Therefore, the GCF of Fractions 8949/24,6921/318 is 3/1272

Least Common Multiple of 24,318 with GCF Formula

Least Common Multiple of 24,318 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,318) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(24,318) x common factors =6 x 1 = 6

LCM(24,318) = ( 24 × 318 ) / 6

LCM(24,318) = 7632 / 6

LCM(24,318) = 1272


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8949/24, 6921/318

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8949/24, 6921/318?

Answer: GCF of Numerators as per given numbers 8949/24, 6921/318 is

GCF of Numerators i.e. for 8949,6921 is 3

LCM of denominators i.e. for 24,318 is 1272.

Thus, GCF of Fractions is 3/1272.Finally, GCF of Fractions for 8949/24, 6921/318 is 3/1272.